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Simplifying 9a + -11 = 23 + 24a + -27a Reorder the terms: -11 + 9a = 23 + 24a + -27a Combine like terms: 24a + -27a = -3a -11 + 9a = 23 + -3a Solving -11 + 9a = 23 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -11 + 9a + 3a = 23 + -3a + 3a Combine like terms: 9a + 3a = 12a -11 + 12a = 23 + -3a + 3a Combine like terms: -3a + 3a = 0 -11 + 12a = 23 + 0 -11 + 12a = 23 Add '11' to each side of the equation. -11 + 11 + 12a = 23 + 11 Combine like terms: -11 + 11 = 0 0 + 12a = 23 + 11 12a = 23 + 11 Combine like terms: 23 + 11 = 34 12a = 34 Divide each side by '12'. a = 2.833333333 Simplifying a = 2.833333333
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